GATE 2022 PI – Question 54
ECM obeys $dy/dt=\lambda/y-f$, where gap y is in mm, time t in minutes and feed f in mm/min. Given λ = 6 × 10⁻³ cm²/min, find feed maintaining gap 0.1 mm, to one decimal mm/min.
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Correct answer: 5.9 to 6.1
Explanation
A constant gap requires dy/dt = 0, so f = λ/y. Convert λ: 0.006 cm²/min = 0.6 mm²/min. Therefore f = 0.6/0.1 = **6.0 mm/min**.